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Simplifying 7Y + 3(Y + -8) = 3(Y + 2) + -3 Reorder the terms: 7Y + 3(-8 + Y) = 3(Y + 2) + -3 7Y + (-8 * 3 + Y * 3) = 3(Y + 2) + -3 7Y + (-24 + 3Y) = 3(Y + 2) + -3 Reorder the terms: -24 + 7Y + 3Y = 3(Y + 2) + -3 Combine like terms: 7Y + 3Y = 10Y -24 + 10Y = 3(Y + 2) + -3 Reorder the terms: -24 + 10Y = 3(2 + Y) + -3 -24 + 10Y = (2 * 3 + Y * 3) + -3 -24 + 10Y = (6 + 3Y) + -3 Reorder the terms: -24 + 10Y = 6 + -3 + 3Y Combine like terms: 6 + -3 = 3 -24 + 10Y = 3 + 3Y Solving -24 + 10Y = 3 + 3Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-3Y' to each side of the equation. -24 + 10Y + -3Y = 3 + 3Y + -3Y Combine like terms: 10Y + -3Y = 7Y -24 + 7Y = 3 + 3Y + -3Y Combine like terms: 3Y + -3Y = 0 -24 + 7Y = 3 + 0 -24 + 7Y = 3 Add '24' to each side of the equation. -24 + 24 + 7Y = 3 + 24 Combine like terms: -24 + 24 = 0 0 + 7Y = 3 + 24 7Y = 3 + 24 Combine like terms: 3 + 24 = 27 7Y = 27 Divide each side by '7'. Y = 3.857142857 Simplifying Y = 3.857142857
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